counting numbers	Also called natural numbers, the numbers 1, 2, 3, 4, ...
integers	The numbers …, -3, -2, -1, 0, 1, 2, 3…
irrational numbers	Numbers that cannot be written as the ratio of two integers—the decimal representation of an irrational number is nonrepeating and nonterminating.
natural numbers	Also called counting numbers, the numbers 1, 2, 3, 4, …
negative numbers	Numbers less than 0.
nonrepeating decimals	Numbers whose decimal parts continue without repeating—these are irrational numbers.
nonterminating decimals	Numbers whose decimal parts continue forever (without ending in an infinite sequence of zeros)—these decimals can be rational (if they repeat) or irrational (if they are nonrepeating).
rational numbers	Numbers that can be written as the ratio of two integers, where the denominator is not zero.
real numbers	All rational or irrational numbers.
repeating decimals	Numbers whose decimal parts repeat a pattern of one or more digits—these are all rational numbers.
set	A collection or group of things such as numbers.
terminating decimals	Numbers whose decimal parts do not continue indefinitely but end eventually—these are all rational numbers.
whole number	The numbers 0, 1, 2, 3, …., or all natural numbers plus 0.